Math question up here
2 answers:
You might be interested in
Given:
• AD = 3
,• DC = 27
,• BD = x + 3
Let's solve for x.
To solve for x, apply the altitude formula:
Where BD is the altitude.
Cross multiply:
Plug in the values and solve for x:
Take the square root of both sides:
Therefore, the value of x is 6 .
ANSWER:
d. 6
The greatest common factor is 2
This is because we start by taking the largest factor that goes into both coefficients. Since the first coefficient is 2, we have to try 2 and 1. Since 2 is larger and goes into 36 evenly, we use that.
Then we use the smallest number of each variable. There are 4 r's in both equations. So, that is the number that we take. There are 2 s's in the first term, so we take that number.
Answer:
a) N(2617, 586)
b) 0.3613 = 36.13% probability that the customer consumes less than 2409 calories.
c) 0.4013 = 40.13% of the customers consume over 2764 calories
d) 3981 calories.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
a. What is the distribution of X?
Here we first place the mean, then the standard deviation.
N(2617, 586)
b. Find the probability that the customer consumes less than 2409 calories.
This is the pvalue of Z when X = 2409. So
has a pvalue of 0.3613
0.3613 = 36.13% probability that the customer consumes less than 2409 calories.
c. What proportion of the customers consume over 2764 calories?
This is 1 subtracted by the pvalue of Z when X = 2764. So
has a pvalue of 0.5987
1 - 0.5987 = 0.4013
0.4013 = 40.13% of the customers consume over 2764 calories
d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?
Top 1%, so the 100-1 = 99th percentile.
The 99th percentile is the value of X when Z has a pvalue of 0.99. So it is X when Z = 2.327. So
Rounding to the nearest calorie, 3981 calories.